%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CSR116+40 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:14:13 PM UTC 2026
% Result : Theorem 27.68s 9.10s
% Output : CNFRefutation 28.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 21 unt; 13 def)
% Number of atoms : 628 ( 0 equ)
% Maximal formula atoms : 192 ( 6 avg)
% Number of connectives : 804 ( 275 ~; 244 |; 269 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 192 ( 9 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 14 prp; 0-4 aty)
% Number of functors : 59 ( 59 usr; 54 con; 0-3 aty)
% Number of variables : 197 ( 167 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : member(X0,cons(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,axiom,
! [X0,X1,X2] :
( ( sub(X0,X1)
& member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
& attr(X2,X0) )
=> ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [X0,X1,X2] :
( ( subs(X0,hei__337en_1_1)
& arg2(X0,X2)
& arg1(X0,X1) )
=> ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10188,conjecture,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10189,negated_conjecture,
~ ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( val(X6,s__374dafrika_0)
& val(X2,nelson_0)
& val(X1,mandela_0)
& subr(X3,rprs_0)
& sub(X6,name_1_1)
& sub(X4,X8)
& sub(X2,eigenname_1_1)
& sub(X1,familiename_1_1)
& prop(X4,schwarz_1_1)
& obj(X7,X0)
& attr(X5,X6)
& attr(X0,X2)
& attr(X0,X1)
& arg1(X3,X0)
& pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(negated_conjecture,[status(cth)],[f10188]) ).
fof(f10190,hypothesis,
( varia(artefakt_1_1,varia_c)
& refer(artefakt_1_1,refer_c)
& quant(artefakt_1_1,one)
& gener(artefakt_1_1,ge)
& fact(artefakt_1_1,real)
& etype(artefakt_1_1,int0)
& card(artefakt_1_1,int1)
& sort(artefakt_1_1,io)
& sort(artefakt_1_1,d)
& varia(leben_1_1,varia_c)
& refer(leben_1_1,refer_c)
& quant(leben_1_1,one)
& gener(leben_1_1,ge)
& fact(leben_1_1,real)
& etype(leben_1_1,int0)
& card(leben_1_1,int1)
& sort(leben_1_1,ad)
& varia(c485,varia_c)
& refer(c485,refer_c)
& quant(c485,quant_c)
& gener(c485,gener_c)
& fact(c485,real)
& etype(c485,etype_c)
& card(c485,card_c)
& sort(c485,ent)
& sort(s__374dafrika_0,fe)
& varia(name_1_1,varia_c)
& refer(name_1_1,refer_c)
& quant(name_1_1,one)
& gener(name_1_1,ge)
& fact(name_1_1,real)
& etype(name_1_1,int0)
& card(name_1_1,int1)
& sort(name_1_1,na)
& varia(land_1_1,varia_c)
& refer(land_1_1,refer_c)
& quant(land_1_1,one)
& gener(land_1_1,ge)
& fact(land_1_1,real)
& etype(land_1_1,int0)
& card(land_1_1,int1)
& sort(land_1_1,io)
& sort(land_1_1,d)
& varia(c482,varia_c)
& refer(c482,indet)
& quant(c482,one)
& gener(c482,sp)
& fact(c482,real)
& etype(c482,int0)
& card(c482,int1)
& sort(c482,na)
& varia(c481,con)
& refer(c481,det)
& quant(c481,one)
& gener(c481,sp)
& fact(c481,real)
& etype(c481,int0)
& card(c481,int1)
& sort(c481,io)
& sort(c481,d)
& varia(pr__344sident_1_1,varia_c)
& refer(pr__344sident_1_1,refer_c)
& quant(pr__344sident_1_1,one)
& gener(pr__344sident_1_1,ge)
& fact(pr__344sident_1_1,real)
& etype(pr__344sident_1_1,int0)
& card(pr__344sident_1_1,int1)
& sort(pr__344sident_1_1,d)
& card(erst_1_1,int1)
& sort(erst_1_1,oq)
& varia(c476,varia_c)
& refer(c476,refer_c)
& quant(c476,one)
& gener(c476,ge)
& fact(c476,real)
& etype(c476,int0)
& card(c476,int1)
& sort(c476,d)
& sort(schwarz_1_1,tq)
& varia(c474,con)
& refer(c474,det)
& quant(c474,one)
& gener(c474,sp)
& fact(c474,real)
& etype(c474,int0)
& card(c474,int1)
& sort(c474,d)
& sort(mandela_0,fe)
& varia(familiename_1_1,varia_c)
& refer(familiename_1_1,refer_c)
& quant(familiename_1_1,one)
& gener(familiename_1_1,ge)
& fact(familiename_1_1,real)
& etype(familiename_1_1,int0)
& card(familiename_1_1,int1)
& sort(familiename_1_1,na)
& sort(nelson_0,fe)
& varia(eigenname_1_1,varia_c)
& refer(eigenname_1_1,refer_c)
& quant(eigenname_1_1,one)
& gener(eigenname_1_1,ge)
& fact(eigenname_1_1,real)
& etype(eigenname_1_1,int0)
& card(eigenname_1_1,int1)
& sort(eigenname_1_1,na)
& varia(mensch_1_1,varia_c)
& refer(mensch_1_1,refer_c)
& quant(mensch_1_1,one)
& gener(mensch_1_1,ge)
& fact(mensch_1_1,real)
& etype(mensch_1_1,int0)
& card(mensch_1_1,int1)
& sort(mensch_1_1,d)
& varia(c463,varia_c)
& refer(c463,indet)
& quant(c463,one)
& gener(c463,sp)
& fact(c463,real)
& etype(c463,int0)
& card(c463,int1)
& sort(c463,na)
& varia(c462,varia_c)
& refer(c462,indet)
& quant(c462,one)
& gener(c462,sp)
& fact(c462,real)
& etype(c462,int0)
& card(c462,int1)
& sort(c462,na)
& varia(c461,con)
& refer(c461,det)
& quant(c461,one)
& gener(c461,sp)
& fact(c461,real)
& etype(c461,int0)
& card(c461,int1)
& sort(c461,d)
& varia(lebenswerk_1_1,varia_c)
& refer(lebenswerk_1_1,refer_c)
& quant(lebenswerk_1_1,one)
& gener(lebenswerk_1_1,ge)
& fact(lebenswerk_1_1,real)
& etype(lebenswerk_1_1,int0)
& card(lebenswerk_1_1,int1)
& sort(lebenswerk_1_1,io)
& sort(lebenswerk_1_1,d)
& varia(kr__366nung_1_2,varia_c)
& refer(kr__366nung_1_2,refer_c)
& quant(kr__366nung_1_2,one)
& gener(kr__366nung_1_2,ge)
& fact(kr__366nung_1_2,real)
& etype(kr__366nung_1_2,int0)
& card(kr__366nung_1_2,int1)
& sort(kr__366nung_1_2,as)
& varia(c451,varia_c)
& refer(c451,indet)
& quant(c451,one)
& gener(c451,sp)
& fact(c451,real)
& etype(c451,int0)
& card(c451,int1)
& sort(c451,io)
& sort(c451,d)
& varia(c338,con)
& refer(c338,det)
& quant(c338,one)
& gener(c338,sp)
& fact(c338,real)
& etype(c338,int0)
& card(c338,int1)
& sort(c338,as)
& sub(lebenswerk_1_1,artefakt_1_1)
& assoc(lebenswerk_1_1,leben_1_1)
& tupl_p4(c485,c338,c461,c474)
& val(c482,s__374dafrika_0)
& sub(c482,name_1_1)
& sub(c481,land_1_1)
& attr(c481,c482)
& attch(c481,c474)
& pmod(c476,erst_1_1,pr__344sident_1_1)
& sub(c474,c476)
& prop(c474,schwarz_1_1)
& val(c463,mandela_0)
& sub(c463,familiename_1_1)
& val(c462,nelson_0)
& sub(c462,eigenname_1_1)
& sub(c461,mensch_1_1)
& attr(c461,c463)
& attr(c461,c462)
& sub(c451,lebenswerk_1_1)
& subs(c338,kr__366nung_1_2)
& sspe(c338,c451) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10191,plain,
! [X0,X1] : member(X0,cons(X0,X1)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10692,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f159]) ).
fof(f10693,plain,
! [X2] :
( ? [X3] :
( subs(X3,hei__337en_1_1)
& arg2(X3,X2)
& arg1(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10692]) ).
fof(f10694,plain,
! [X2] :
( ( subs(sK50_skl(X2),hei__337en_1_1)
& arg2(sK50_skl(X2),X2)
& arg1(sK50_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50_skl]),skolemize(X3,sK50_skl(X2))],[f10693]) ).
fof(f10695,plain,
! [X0,X1,X2] :
( arg1(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10696,plain,
! [X0,X1,X2] :
( arg2(sK50_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10697,plain,
! [X0,X1,X2] :
( subs(sK50_skl(X0),hei__337en_1_1)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10694]) ).
fof(f10698,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ),
inference(pre_NNF_transformation,[status(thm)],[f160]) ).
fof(f10699,plain,
! [X2] :
( ? [X3] :
( subs(X3,stehen_1_b)
& scar(X3,X2)
& obj(X3,X2)
& mcont(X3,X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(miniscoping,[status(thm)],[f10698]) ).
fof(f10700,plain,
! [X2] :
( ( subs(sK51_skl(X2),stehen_1_b)
& scar(sK51_skl(X2),X2)
& obj(sK51_skl(X2),X2)
& mcont(sK51_skl(X2),X2) )
| ! [X0,X1] :
( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X2,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl]),skolemize(X3,sK51_skl(X2))],[f10699]) ).
fof(f10702,plain,
! [X0,X1,X2] :
( obj(sK51_skl(X0),X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10700]) ).
fof(f10705,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( subs(X3,bezeichnen_1_1)
& subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f10706,plain,
! [X0,X1,X2] :
( ? [X3] :
( subs(X3,bezeichnen_1_1)
& ? [X4] :
( subr(X4,rprs_0)
& obj(X3,X1)
& mcont(X3,X4)
& hsit(X0,X3)
& arg2(X4,X2)
& arg1(X4,X1) ) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(miniscoping,[status(thm)],[f10705]) ).
fof(f10707,plain,
! [X0,X1,X2] :
( ( subs(sK52_skl(X2,X1,X0),bezeichnen_1_1)
& subr(sK53_skl(X2,X1,X0),rprs_0)
& obj(sK52_skl(X2,X1,X0),X1)
& mcont(sK52_skl(X2,X1,X0),sK53_skl(X2,X1,X0))
& hsit(X0,sK52_skl(X2,X1,X0))
& arg2(sK53_skl(X2,X1,X0),X2)
& arg1(sK53_skl(X2,X1,X0),X1) )
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl]),skolemize(X3,sK52_skl(X2,X1,X0)),skolemize(X4,sK53_skl(X2,X1,X0))],[f10706]) ).
fof(f10708,plain,
! [X0,X1,X2] :
( arg1(sK53_skl(X2,X1,X0),X1)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( subr(sK53_skl(X2,X1,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X2)
| ~ arg1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f10707]) ).
fof(f20815,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X2,nelson_0)
| ~ val(X1,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ~ obj(X7,X0)
| ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ),
inference(pre_NNF_transformation,[status(thm)],[f10189]) ).
fof(f20816,plain,
! [X6] :
( ~ val(X6,s__374dafrika_0)
| ! [X2] :
( ~ val(X2,nelson_0)
| ! [X1] :
( ~ val(X1,mandela_0)
| ! [X3] :
( ~ subr(X3,rprs_0)
| ~ sub(X6,name_1_1)
| ! [X4,X8] :
( ~ sub(X4,X8)
| ~ sub(X2,eigenname_1_1)
| ~ sub(X1,familiename_1_1)
| ~ prop(X4,schwarz_1_1)
| ! [X0] :
( ! [X7] : ~ obj(X7,X0)
| ! [X5] : ~ attr(X5,X6)
| ~ attr(X0,X2)
| ~ attr(X0,X1)
| ~ arg1(X3,X0)
| ~ pmod(X8,erst_1_1,pr__344sident_1_1) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f20815]) ).
fof(f20817,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ val(X6,s__374dafrika_0)
| ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X6,name_1_1)
| ~ sub(X8,X0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ prop(X8,schwarz_1_1)
| ~ obj(X7,X2)
| ~ attr(X5,X6)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(cnf_transformation,[status(thm)],[f20816]) ).
fof(f20821,plain,
attr(c461,c462),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20822,plain,
attr(c461,c463),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20824,plain,
sub(c462,eigenname_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20825,plain,
val(c462,nelson_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20826,plain,
sub(c463,familiename_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20827,plain,
val(c463,mandela_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20828,plain,
prop(c474,schwarz_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20829,plain,
sub(c474,c476),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20830,plain,
pmod(c476,erst_1_1,pr__344sident_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20832,plain,
attr(c481,c482),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20834,plain,
sub(c482,name_1_1),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f20835,plain,
val(c482,s__374dafrika_0),
inference(cnf_transformation,[status(thm)],[f10190]) ).
fof(f21045,definition,
! [X0,X8] :
( sQ0_spl
<=> ( ~ sub(X8,X0)
| ~ prop(X8,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f21046,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ sub(X1,X0)
| ~ prop(X1,schwarz_1_1)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(component_clause,[status(thm)],[f21045]) ).
fof(f21048,definition,
! [X1,X2,X3,X4,X7] :
( sQ1_spl
<=> ( ~ val(X4,nelson_0)
| ~ val(X3,mandela_0)
| ~ subr(X1,rprs_0)
| ~ sub(X4,eigenname_1_1)
| ~ sub(X3,familiename_1_1)
| ~ obj(X7,X2)
| ~ attr(X2,X4)
| ~ attr(X2,X3)
| ~ arg1(X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f21049,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(X3,nelson_0)
| ~ val(X2,mandela_0)
| ~ subr(X0,rprs_0)
| ~ sub(X3,eigenname_1_1)
| ~ sub(X2,familiename_1_1)
| ~ obj(X4,X1)
| ~ attr(X1,X3)
| ~ attr(X1,X2)
| ~ arg1(X0,X1) ),
inference(component_clause,[status(thm)],[f21048]) ).
fof(f21051,definition,
! [X5,X6] :
( sQ2_spl
<=> ( ~ val(X6,s__374dafrika_0)
| ~ sub(X6,name_1_1)
| ~ attr(X5,X6) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f21052,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ val(X1,s__374dafrika_0)
| ~ sub(X1,name_1_1)
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21051]) ).
fof(f21054,plain,
( sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20817,f21045,f21048,f21051]) ).
fof(f21090,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1_spl
| ~ val(X5,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X5,eigenname_1_1)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,X5)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f10702,f21049]) ).
fof(f21091,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ1_spl
| ~ val(c462,nelson_0)
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c462)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21090,f20824]) ).
fof(f21092,definition,
! [X0,X1,X2,X3,X4] :
( sQ5_spl
<=> ( ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c462)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f21093,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ5_spl
| ~ val(X4,mandela_0)
| ~ subr(X3,rprs_0)
| ~ sub(X4,familiename_1_1)
| ~ attr(X0,c462)
| ~ attr(X0,X4)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21092]) ).
fof(f21095,definition,
( sQ6_spl
<=> val(c462,nelson_0) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f21097,plain,
( sQ6_spl
| ~ val(c462,nelson_0) ),
inference(component_clause,[status(thm)],[f21095]) ).
fof(f21098,plain,
( ~ sQ1_spl
| ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f21091,f21092,f21095,f21048]) ).
fof(f21099,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21097,f20825]) ).
fof(f21100,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f21099]) ).
fof(f21101,plain,
! [X0] :
( ~ sQ0_spl
| ~ sub(c474,X0)
| ~ pmod(X0,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21046,f20828]) ).
fof(f21102,plain,
( ~ sQ0_spl
| ~ pmod(c476,erst_1_1,pr__344sident_1_1) ),
inference(resolution,[status(thm)],[f21101,f20829]) ).
fof(f21103,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21102,f20830]) ).
fof(f21104,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f21103]) ).
fof(f21110,plain,
! [X0,X1,X2,X3] :
( ~ sQ5_spl
| ~ val(c463,mandela_0)
| ~ subr(X3,rprs_0)
| ~ attr(X0,c462)
| ~ attr(X0,c463)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(resolution,[status(thm)],[f21093,f20826]) ).
fof(f21111,definition,
! [X0,X1,X2,X3] :
( sQ8_spl
<=> ( ~ subr(X3,rprs_0)
| ~ attr(X0,c462)
| ~ attr(X0,c463)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f21112,plain,
! [X0,X1,X2,X3] :
( ~ sQ8_spl
| ~ subr(X3,rprs_0)
| ~ attr(X0,c462)
| ~ attr(X0,c463)
| ~ arg1(X3,X0)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X1) ),
inference(component_clause,[status(thm)],[f21111]) ).
fof(f21114,definition,
( sQ9_spl
<=> val(c463,mandela_0) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f21116,plain,
( sQ9_spl
| ~ val(c463,mandela_0) ),
inference(component_clause,[status(thm)],[f21114]) ).
fof(f21117,plain,
( ~ sQ5_spl
| ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f21110,f21111,f21114,f21092]) ).
fof(f21118,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21116,f20827]) ).
fof(f21119,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f21118]) ).
fof(f21120,plain,
! [X0] :
( ~ sQ2_spl
| ~ sub(c482,name_1_1)
| ~ attr(X0,c482) ),
inference(resolution,[status(thm)],[f21052,f20835]) ).
fof(f21121,definition,
! [X0] :
( sQ10_spl
<=> ~ attr(X0,c482) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f21122,plain,
! [X0] :
( ~ sQ10_spl
| ~ attr(X0,c482) ),
inference(component_clause,[status(thm)],[f21121]) ).
fof(f21124,definition,
( sQ11_spl
<=> sub(c482,name_1_1) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f21126,plain,
( sQ11_spl
| ~ sub(c482,name_1_1) ),
inference(component_clause,[status(thm)],[f21124]) ).
fof(f21127,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f21120,f21121,f21124,f21051]) ).
fof(f21128,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f20832,f21122]) ).
fof(f21129,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f21128]) ).
fof(f21130,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21126,f20834]) ).
fof(f21131,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f21130]) ).
fof(f21134,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ subr(X2,rprs_0)
| ~ attr(c461,c462)
| ~ arg1(X2,c461)
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X0) ),
inference(resolution,[status(thm)],[f21112,f20822]) ).
fof(f21135,definition,
! [X0,X1] :
( sQ12_spl
<=> ( ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f21136,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X0) ),
inference(component_clause,[status(thm)],[f21135]) ).
fof(f21138,definition,
! [X2] :
( sQ13_spl
<=> ( ~ subr(X2,rprs_0)
| ~ arg1(X2,c461) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f21139,plain,
! [X0] :
( ~ sQ13_spl
| ~ subr(X0,rprs_0)
| ~ arg1(X0,c461) ),
inference(component_clause,[status(thm)],[f21138]) ).
fof(f21141,definition,
( sQ14_spl
<=> attr(c461,c462) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f21143,plain,
( sQ14_spl
| ~ attr(c461,c462) ),
inference(component_clause,[status(thm)],[f21141]) ).
fof(f21144,plain,
( ~ sQ8_spl
| ~ sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f21134,f21135,f21138,f21141,f21111]) ).
fof(f21145,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f21143,f20821]) ).
fof(f21146,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f21145]) ).
fof(f21148,plain,
! [X0] :
( ~ sQ12_spl
| ~ sub(X0,eigenname_1_1)
| ~ attr(c461,X0) ),
inference(resolution,[status(thm)],[f21136,f10191]) ).
fof(f21157,plain,
( ~ sQ12_spl
| ~ attr(c461,c462) ),
inference(resolution,[status(thm)],[f21148,f20824]) ).
fof(f21158,plain,
( ~ sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f21157,f21141,f21135]) ).
fof(f22688,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ subr(sK53_skl(X1,c461,X0),rprs_0)
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c461) ),
inference(resolution,[status(thm)],[f10708,f21139]) ).
fof(f22689,plain,
! [X0,X1] :
( ~ sQ13_spl
| ~ subs(X0,hei__337en_1_1)
| ~ arg2(X0,X1)
| ~ arg1(X0,c461) ),
inference(forward_subsumption_resolution,[status(thm)],[f22688,f10713]) ).
fof(f22692,plain,
! [X0,X1,X2,X3] :
( ~ sQ13_spl
| ~ sub(X2,X3)
| ~ member(X3,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(X0,X2)
| ~ arg2(sK50_skl(X0),X1)
| ~ arg1(sK50_skl(X0),c461) ),
inference(resolution,[status(thm)],[f22689,f10697]) ).
fof(f22694,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ13_spl
| ~ sub(X3,X4)
| ~ member(X4,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X3)
| ~ sub(X1,X2)
| ~ member(X2,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X1)
| ~ arg2(sK50_skl(c461),X0) ),
inference(resolution,[status(thm)],[f22692,f10695]) ).
fof(f22695,definition,
! [X0] :
( sQ20_spl
<=> ~ arg2(sK50_skl(c461),X0) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f22696,plain,
! [X0] :
( ~ sQ20_spl
| ~ arg2(sK50_skl(c461),X0) ),
inference(component_clause,[status(thm)],[f22695]) ).
fof(f22698,plain,
( ~ sQ13_spl
| sQ12_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f22694,f22695,f21135,f21138]) ).
fof(f22699,plain,
! [X0,X1] :
( ~ sQ20_spl
| ~ sub(X0,X1)
| ~ member(X1,cons(eigenname_1_1,cons(familiename_1_1,cons(name_1_1,nil))))
| ~ attr(c461,X0) ),
inference(resolution,[status(thm)],[f22696,f10696]) ).
fof(f22700,plain,
( ~ sQ20_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f22699,f21135,f22695]) ).
fof(f22701,plain,
$false,
inference(sat_refutation,[status(thm)],[f21054,f21098,f21100,f21104,f21117,f21119,f21127,f21129,f21131,f21144,f21146,f21158,f22698,f22700]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR116+40 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n026.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 15:12:43 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.15/5.52 % Drodi V4.1.1
% 27.68/9.10 % Refutation found
% 27.68/9.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 27.68/9.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.39/9.19 % Elapsed time: 3.792307 seconds
% 28.39/9.19 % CPU time: 28.631083 seconds
% 28.39/9.19 % Total memory used: 504.335 MB
% 28.39/9.19 % Net memory used: 494.736 MB
%------------------------------------------------------------------------------